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Finding the Fourth Proportional to 662.82, 993.15 and 469.54

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Solution

The fourth proportional to 662.82, 993.15 and 469.54 is: 703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.82 : 993.15 = 469.54 : x
  2. Step 2: Convert to fraction form
    662.82/993.15 = 469.54/x
  3. Step 3: Cross multiply
    662.82x = 993.15 × 469.54
  4. Step 4: Simplify right side
    662.82x = 466,323.65
  5. Step 5: Solve for x
    x = 466,323.65/662.82
  6. Step 6: Final answer
    x = 703.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.